Sharif Digital Repository

A new method for structural optimization is presented for successive approximation of the objective function and constraints in conjunction with Lagrange multipliers approach. The focus is on presenting the methodology with simple examples. The basis of the iterative algorithm is that after each iteration, it brings the approximate location of the estimated minimum closer to the exact location, gradually. In other words, instead of the linear or parabolic term used in Taylor expansion, which works based on a short step length, an arch is used that has a constant curvature but a longer step length. Using this approximation, the equations of optimization involve the Lagrange multipliers as the... 

Helical swimming robots with a capable propulsion system at low-Reynolds numbers have been proposed for many applications. Although linear propulsion characteristics of swimming robots with a single helical flagellum have been extensively studied, the characteristics of maneuverability have not been completely investigated yet. This study presents a new method for the maneuverability of the helical swimming robot with a single helical flagellum. This mechanism is based on the change in the angle between the helical and body axes. This study shows that a change in the aforementioned angle can enable the swimming robot to have turning maneuvers in clockwise or counterclockwise directions.... 

Helical swimming robots with a capable propulsion system at low-Reynolds numbers have been proposed for many applications. Although linear propulsion characteristics of swimming robots with a single helical flagellum have been extensively studied, the characteristics of maneuverability have not been completely investigated yet. This study presents a new method for the maneuverability of the helical swimming robot with a single helical flagellum. This mechanism is based on the change in the angle between the helical and body axes. This study shows that a change in the aforementioned angle can enable the swimming robot to have turning maneuvers in clockwise or counterclockwise directions.... 

The elastic behavior of an edge dislocation, which is positioned outside of a nanoscale elliptical inhomogeneity, is studied within the interface elasticity approach incorporating the elastic moduli and surface tension of the interface. The complex potential function method is used. The dislocation stress field and the image force acting on the dislocation are found and analyzed in detail. The difference between the solutions obtained within the classical-elasticity and interface-elasticity approaches is discussed. It is shown that for the stress field, this difference can be significant in those points of the inhomogeneity-matrix interface, where the radius of curvature is smaller and which... 

The purpose of this paper is to determine the optimal shape of double curvature concrete arch dams by using the sensitivity of design objective to design variables. Design sensitivities quantify the relationship between the design variables such as thickness of crown cantilever, left and right abutment thickness, crown cantilever upstream profile, radius of curvature of water and air faces on one hand and the objective function such as the volume of the concrete arch dam on the other hand. For this aim, first a methodology was developed to provide interface between a finite element method and an optimization algorithm for shape optimization of double curvature concrete arch dams. The... 

The problem of electromagnetic wave scattering from rough surfaces has been the subject of intensive investigations over the past several decades for its applications in a number of important remote sensing implementations. For slightly rough surfaces that the radius of curvature of surface is bigger than the wavelength, the Kirchhoff method is the most commonly used approach. In this paper a new way for scattering computation from rough surfaces is introduced. Here Kirchhoff approach is applied for considering the electromagnetic wave interaction with slightly rough Gaussian surfaces. Fourier series of rough Gaussian surface is used for extracting the strong harmonics of the surface. Then...